Answer:
2621.25 meters
Explanation:
First, write down what we are given.
Initial velocity = 27.5 m/s
Final velocity = 42.4 m/s
Time = 75 seconds
We need to look at the kinematic equations and determine which one will be best. In this case, we need an equation with distance. I am going to use
, but you can also use the other equation, 
We need to find acceleration. To find it, we need to use the formula for acceleration:
. Plugging in values, 
Next, plug in what we know into the kinematics equation and solve for distance. 
<em>Choice-C</em> is the right one.
-- The bolt didn't react to the magnet, and just laid there. That tells you that the bolt was made of a non-magnetic material.
-- The bolt didn't float. It went straight to the bottom. That tells you that it's more dense than the fluid around it.
The amount of heat will be equal to Lm.
Where L is the latent heat of fusion and m is mass of the ice.
Latent heat of ice = 80cal/g.
So the amount of heat required here will be 35× 80cal
= 2,800 cal.
The minimum speed with which Captain Brady had to run off the edge of the cliff to make it safely to the far side of the river is around 6 meters per second.
<h3>Further explanation</h3>
This is a free fall 2-dimensional type of problem, therefor we can write equations for both dimensions which model the fall of captain Brady. Let's call <em>x </em>the distance travelled by the captain on the horizontal direction and <em>y </em>the distance travelled on the vertical direction.
Lets suppose that Brady jumped with a complete horizontal velocity from a point which we will call the origin (meaning zero horizontal and vertical displacement), and let's call <em>ta</em> the time it took for captain Brady to reach the river (meaning the time he spent on the air). The equations of motion for the captain will be:


We know that at time <em>ta</em> the captain would have traveled 6.7 m on the horizontal direction, and 6.1 m in the vertical direction. Therefor we can write that:


Which gives us a system of 2 equations and 2 unknowns (<em>V</em> and <em>ta</em>). From the second equation we can solve for <em>ta</em> as:

And solving for <em>V</em> on the first equation, we find that:

Which is almost 6 meters per second.
<h3>Learn more</h3>
<h3>Keywords</h3>
Free fall, projectile, gravity